Title :
An eigenvalue study of a double integrator oscillator
Author :
Lindberg, Erik ; Murali, K. ; Tamasevicius, A. ; Wangenheim, Lutz V.
Author_Institution :
Elektr. Dept., Tech. Univ. of Denmark (DTU), Lyngby, Denmark
Abstract :
A tutorial study of an oscillator built from a loop of two active RC integrators and an ideal inverter. As a reference the linear harmonic oscillator is modeled as a LC circuit and as an ideal two integrator loop. The nonlinear amplifiers of the active RC integrator circuits are assumed to be linear with time varying gain and the eigenvalues are found as function of time. A design strategy based on the time-constants of the integrators is presented.
Keywords :
RC circuits; eigenvalues and eigenfunctions; harmonic oscillators (circuits); integrating circuits; invertors; LC circuit; active RC integrator circuit; double integrator oscillator; eigenvalue; inverter; linear harmonic oscillator; nonlinear amplifier; time constant; Capacitors; Circuit theory; Coils; Couplings; Differential equations; Digital systems; Eigenvalues and eigenfunctions; Oscillators; Physics; Voltage control;
Conference_Titel :
Circuit Theory and Design, 2009. ECCTD 2009. European Conference on
Conference_Location :
Antalya
Print_ISBN :
978-1-4244-3896-9
Electronic_ISBN :
978-1-4244-3896-9
DOI :
10.1109/ECCTD.2009.5274952
